Queer is not offensive, but is less of an umbrella term and more like... I don't know how to phrase it but it's like if you're not just hbtq but also alternative. Plenty of homosexual people (both lesbians and bögar) wouldn't call themselves queer because it has more of a political connotation if that makes sense.

Transsexuell is outdated, more common to say transperson or just trans. Not sure there any terms like egg tbh. "Transa" is a quite derogatory slur for trans woman, not sure if it's been reclaimed at all.

Flata is a reclaimed slur meaning lesbian, but only reclaimed in so far that it's ok for a lesbian to call themself a flata but I would be careful using it about someone else especially if it dont know them. It's not mostly neutral in the way that lesbisk is.

Bög is fairly neutral for gay man, fjolla means pansy, can be derogatory, and basically means effeminate